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Finding the Third Proportional to 12,527 and 29,625

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Solution

The third proportional to 12,527 and 29,625 is: 70,059.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,527 : 29,625 = 29,625 : x
  2. Step 2: Convert to fraction form
    12,527/29,625 = 29,625/x
  3. Step 3: Cross multiply
    12,527x = 29,625 × 29,625
  4. Step 4: Simplify right side
    12,527x = 877,640,625
  5. Step 5: Solve for x
    x = 877,640,625/12,527
  6. Step 6: Final answer
    x = 70,059.92

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.